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CHE350_Fall2011_Exam 1 Soln

# CHE350_Fall2011_Exam 1 Soln - ehE 350 Fall 2011 Exam 1(200...

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ehE 350 Fall 2011 Exam 1 (200 points) (30 pts) 1. On the unit cells shown below, sketch the positions of the atoms in a (a) face centered cubic (fee), (b) body-centered cubic (bee) and (c) simple cubit unit cell (a) (to) (b) (to) z ) 0 / .. / / 0 .DO 0 y / o /' ~/ / x/ " z (c) (lo z y y , =- {)j1. o-wer: x/ ,,::: OYl -fq ce €I =- ~ '" (~r ofc wl"e (45 pts) 2. Show that packing fraction of spheres in an fee lattice is Ji7r/ 6 = 0.74 . f-:: fJU.~~ frtlc-f~fJkI ~ F((. Ft{(e _ - . - y£. - x 1

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ChE 350 Fall20ll Exam 1 (200 points) Name: fa I J,~ (} J.'f. ) (45 pts) 3. The separation between lattice planes (hkl) is called the d-spacing, and for a cubic unit cell is related to the lattice parameter as: d= a .Jh2+k2+Z2 Show that in a fee crystal the d-spacing between (110) planes is equal to the nearest neighbor spacing between the atoms. J (I{,,,)) I z: m, "'" - jp f rb ", 9' Vevt ,0 r-fl"tt.vla.: ~ <1(/10) 1~-rli+O~ l T' - 1J~lAre~+lJel~~6or, 2 R frO#L ~(he Jt,o/)L ~;." @ (/0) d~/V - >rl( dnj - / } I -~~2R ( (0 f 0 ." (J..w - v27 (5) (30 pts) 4. Sketch and label the (102) and (002) planes and the [110] lattice direction in the hcp unit cell shown below: (lol..A .:y '{O P+f for eat t: 9 ra f h e l {orreclly -I ~-en-e(J-rf ( P /aKle l{q\ 'ft.ll.
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CHE350_Fall2011_Exam 1 Soln - ehE 350 Fall 2011 Exam 1(200...

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